456308725446 has 192 divisors, whose sum is σ = 1201477155840. Its totient is φ = 122340430080.

The previous prime is 456308725399. The next prime is 456308725463. The reversal of 456308725446 is 644527803654.

456308725446 is a `hidden beast` number, since 4 + 563 + 0 + 8 + 72 + 5 + 4 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 456308725392 and 456308725401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92498796 + ... + 92503728.

It is an arithmetic number, because the mean of its divisors is an integer number (6257693520).

Almost surely, 2^456308725446 is an apocalyptic number.

456308725446 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 456308725446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600738577920).

456308725446 is an abundant number, since it is smaller than the sum of its proper divisors (745168430394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456308725446 is a wasteful number, since it uses less digits than its factorization.

456308725446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 456308725446 in words is "four hundred fifty-six billion, three hundred eight million, seven hundred twenty-five thousand, four hundred forty-six".